Search a number
-
+
2220446460 = 2235181204461
BaseRepresentation
bin1000010001011001…
…0101001011111100
312201202011100220210
42010112111023330
514021413241320
61004155512420
7106011324561
oct20426251374
95652140823
102220446460
11a3a425321
1251b758710
1329504005b
14170c80868
15cee0a0e0
hex845952fc

2220446460 has 48 divisors (see below), whose sum is σ = 6251630112. Its totient is φ = 588844800.

The previous prime is 2220446441. The next prime is 2220446467. The reversal of 2220446460 is 646440222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220446467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91371 + ... + 113090.

It is an arithmetic number, because the mean of its divisors is an integer number (130242294).

Almost surely, 22220446460 is an apocalyptic number.

2220446460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220446460 is an abundant number, since it is smaller than the sum of its proper divisors (4031183652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2220446460 is a wasteful number, since it uses less digits than its factorization.

2220446460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204654 (or 204652 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2220446460 is about 47121.6135122727. The cubic root of 2220446460 is about 1304.6081940588.

Adding to 2220446460 its reverse (646440222), we get a palindrome (2866886682).

The spelling of 2220446460 in words is "two billion, two hundred twenty million, four hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 204461 408922 613383 817844 1022305 1226766 2044610 2453532 3066915 4089220 6133830 12267660 37007441 74014882 111022323 148029764 185037205 222044646 370074410 444089292 555111615 740148820 1110223230 2220446460